A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
الموضوعات : مجله بین المللی ریاضیات صنعتی
E. Ahmady
1
(Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.)
N. Ahmady
2
(Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.)
الکلمات المفتاحية: Generalized differentiability, Numerical Solution, Fuzzy Differential Equations,
ملخص المقالة :
In this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are shown.
